The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. (Type an integer or a decimal. Do not round.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Probability Distribution for x**

Below is a table representing a probability distribution for the discrete random variable \( x \). The table shows the possible values of \( x \) along with their corresponding probabilities \( P(x) \).

| \( x \) | \( P(x) \) |
|-------|--------|
| 0     | 0.164  |
| 1     | 0.436  |
| 2     | 0.248  |
| 3     | 0.124  |
| 4     | 0.021  |
| 5     | 0.007  |

**Explanation:**

- The sum of all probabilities \( P(x) \) should equal 1, as it represents a complete distribution.
- Each value of \( x \) is associated with a probability \( P(x) \), indicating the likelihood of \( x \) occurring.
  
Users can explore this table to understand the likelihood of different outcomes for the random variable \( x \).

**Additional Options:**

- **Print**: To print this table for reference.
- **Done**: To close or finalize the interaction.
Transcribed Image Text:**Probability Distribution for x** Below is a table representing a probability distribution for the discrete random variable \( x \). The table shows the possible values of \( x \) along with their corresponding probabilities \( P(x) \). | \( x \) | \( P(x) \) | |-------|--------| | 0 | 0.164 | | 1 | 0.436 | | 2 | 0.248 | | 3 | 0.124 | | 4 | 0.021 | | 5 | 0.007 | **Explanation:** - The sum of all probabilities \( P(x) \) should equal 1, as it represents a complete distribution. - Each value of \( x \) is associated with a probability \( P(x) \), indicating the likelihood of \( x \) occurring. Users can explore this table to understand the likelihood of different outcomes for the random variable \( x \). **Additional Options:** - **Print**: To print this table for reference. - **Done**: To close or finalize the interaction.
### Understanding Probability in Sleepwalking Cases

The following exercise focuses on calculating the probabilities related to sleepwalking occurrences among a group of adults. A table (not shown here) provides data on the random variable \( x \), which represents the number of adults, out of a group of five, who have reported incidents of sleepwalking. Your task is to complete parts (a) through (d) with regard to this data.

---

#### Exercise

**a. Determine the Probability of Exactly Four Sleepwalkers**

Calculate the probability that exactly four out of five adults in the group are sleepwalkers.

**Instructions:**

- Enter your answer as a precise integer or a decimal.
- Do not round your answer.

---

This exercise will aid in understanding how to apply probability calculations to real-world scenarios, such as determining the likelihood of specific outcomes among groups with known behavior patterns.
Transcribed Image Text:### Understanding Probability in Sleepwalking Cases The following exercise focuses on calculating the probabilities related to sleepwalking occurrences among a group of adults. A table (not shown here) provides data on the random variable \( x \), which represents the number of adults, out of a group of five, who have reported incidents of sleepwalking. Your task is to complete parts (a) through (d) with regard to this data. --- #### Exercise **a. Determine the Probability of Exactly Four Sleepwalkers** Calculate the probability that exactly four out of five adults in the group are sleepwalkers. **Instructions:** - Enter your answer as a precise integer or a decimal. - Do not round your answer. --- This exercise will aid in understanding how to apply probability calculations to real-world scenarios, such as determining the likelihood of specific outcomes among groups with known behavior patterns.
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